engleski

Some Identities in the Twisted Group Algebra of Symmetric Groups

In this presentation we will examine a natural action of the symmetric group on the polynomial ring in nxn commuting variables and also describe a twisted group algebra (defined by this action). In the twisted group algebra we will present some identities and give some factorizations of certain canonical elements, which can be decomposed into the product of simpler elements. These identities can be used to simplify some computations.

symmetric group; polynomial ring; group algebra; twisted group algebra

nije evidentirano